Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
Drexel University or The Math Forum.



Re: distinguishability  in context, according to definitions
Posted:
Feb 15, 2013 8:44 AM


In <oPydnQ9MUcW1vIPMnZ2dnUVZ_s6dnZ2d@giganews.com>, on 02/15/2013 at 05:50 AM, fom <fomJUNK@nyms.net> said:
>As this part of the construction had been >motivated by the axiom of regularity in >set theory, it is intuitively reasonable >to think of a letter as "a collection >of letters" although I suspect many will >find that objectionable.
Use of naive set theory leads to paradoxes. If you are using any mainstream set theory, e.g., ZFC, then no set is an element of itself. There are theories where you could get away with that, e.g., NF, but I suspect that you would find them awkward. More to the point, having a letter be a collection of letters would violate the very axiom of regularity that you cite as your motivation.
Things like that are more reasonable in Mereology, about which I don't know much, but if you're addressing issues related to set theory that doesn't help.
 Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
Unsolicited bulk Email subject to legal action. I reserve the right to publicly post or ridicule any abusive Email. Reply to domain Patriot dot net user shmuel+news to contact me. Do not reply to spamtrap@library.lspace.org



